Practice the questions given in the worksheet on compound interest when interest is compounded half-yearly.

When the interest is compounded half-yearly (two times is a year) the,

A = P(1 + \(\frac{r}{2 × 100}\))\(^{n × 2}\)

i.e., the rate percent is divided by 2 and the number of years is multiplied by 2.

**1.** Find the compound interest and the amount on $ 4,000 at 4% per annum for 1 year when interest is compounded half-yearly.

**2.** Calculate the amount when sum of $ 4,800 is invested at
8% per annum for 4 years, the compound interest being compounded half-yearly.

Do not use mathematical tables. Use the necessary information from the following:

(1.08)\(^{4}\) = 1.3605; (1.04)\(^{8}\) = 1.3686

(1.08)\(^{8}\) = 1.8509; (1.04)\(^{4}\) = 1.1699

**3.** Calculate the compound interest at 8% per annum,
compounded half-yearly, on $ 3,000 for 1\(\frac{1}{2}\) years.

**4.** Find the difference between the compound interest
compounded yearly and half-yearly on $ 10,000 for 18 months at 10% per annum.

**5.** Find the compound interest and the amount on $ 5,000 at
the annual interest rate of 8% for 2 years 6 months.

**6.** A man invests 4 10,000 in a bank for 1 ½ years at the
interest rate of 7\(\frac{1}{2}\)% per annum, compounded annually. Find the amount he will
receive at the end of the period.

**7.** Calculate the compound interest on $ 60,000 for 1 year,
at 8% per annum, compounded half-yearly.

**8.** In what time will a sum of $ 8,000 become $ 9,261 at the
interest rate of 10% per annum if the interest is compounded six-monthly?

**9.** At 4% per annum, find the compound interest on a certain
sum of money for 1 year, compounded six-monthly, when the simple interest on
this sum of money for 2 years at the rate of interest 4% per annum is $ 450.

**10.** Calculate the compound interest on $ 3500 at 6% per
annum for 3 years, the interest being compounded half-yearly.

Do not use mathematical tables. Use the necessary information from the following:

(1.06)\(^{3}\) = 1.191016; (1.03)\(^{3}\) = 1.092727

(1.06)\(^{6}\) = 1.418519; (1.03)\(^{6}\) = 1.194052

Answers for the worksheet on compound interest when interest is compounded half-yearly are given below.

**Answers:**

**1.** $ 161.60, $ 4161.60

**2.** $ 6,569.28

**3.** $ 374.60

**4.**$ 26.25

**5.** $ 1,065.28, $ 6,065.28

**6.** $ 11,153.13

**7.** $ 4896

**8.** 1\(\frac{1}{2}\) years.

**9.** $ 227.25

**10.** $ 679.18

● **Compound Interest**

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__Compound Interest when Interest is Compounded Yearly__

__Compound Interest when Interest is Compounded Half-Yearly__

__Compound Interest when Interest is Compounded Quarterly__

__Variable Rate of Compound Interest__

__Difference of Compound Interest and Simple Interest__

__Practice Test on Compound Interest__

● **Compound Interest - Worksheet**

__Worksheet on Compound Interest__

__Worksheet on Compound Interest with Growing Principal__

__Worksheet on Compound Interest with Periodic Deductions__

__Worksheet on Difference of Compound Interest and Simple Interest__

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